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Finding the Fourth Proportional to 24,905.86, 34,367.31 and 14,832.90

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Solution

The fourth proportional to 24,905.86, 34,367.31 and 14,832.90 is: 20,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,905.86 : 34,367.31 = 14,832.90 : x
  2. Step 2: Convert to fraction form
    24,905.86/34,367.31 = 14,832.90/x
  3. Step 3: Cross multiply
    24,905.86x = 34,367.31 × 14,832.90
  4. Step 4: Simplify right side
    24,905.86x = 509,766,872.50
  5. Step 5: Solve for x
    x = 509,766,872.50/24,905.86
  6. Step 6: Final answer
    x = 20,467.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.